J.Bricmont, A.Kupiainen, R.Lefevere
Probabilistic estimates for the Two Dimensional 
Stochastic Navier-Stokes Equations
(36K, LATeX 2e)

ABSTRACT.  We consider the Navier-Stokes equation on a 
two dimensional torus with
a random force, white noise in time and analytic in space, 
for arbitrary Reynolds number $R$.  We prove probabilistic 
estimates for the long time behaviour of the solutions
that imply bounds for the dissipation scale and energy
spectrum as $R\to\infty$.